P. 428. Bending Theory.
Example 73. Make a diagram to shew how the moment of
resistance to bending increases as the radius of curvature diminishes.
Estimate the work done in bending a mild steel plate i in. thick, 5 ft.
wide, and 20 ft. long, to a radius of 6 ft. (Machine Constr. Hons.
From p. 428 : Bm =_/Z = •»-
.'. Moment of resistance, fZ oc -
The diagram is given at o, Fig. 956. As the radius of curvature
diminishes from a to a± the moment of resistance increases from b to
bi; and as a x b is constant, the curve is a rectangular hyperbola.
To estimate the work done, let the plate be bent from A B to